GCD of 471, 273, 57, 372 Calculator

Given Input numbers are 471, 273, 57, 372

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 471, 273, 57, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 273, 57, 372 is 3.

Therefore, GCD of numbers 471, 273, 57, 372 is 3

Given Input Data is 471, 273, 57, 372

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 471 is 3 x 157

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 57 is 3 x 19

Prime Factorization of 372 is 2 x 2 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(471, 273) = 42861

GCD(471, 273) = ( 471 x 273 ) / 42861

GCD(471, 273) = 128583 / 42861

GCD(471, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 372

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 372) = 372

GCD(3, 372) = ( 3 x 372 ) / 372

GCD(3, 372) = 1116 / 372

GCD(3, 372) = 3

GCD of 471, 273, 57, 372 is 3

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1. What is the GCD of 471, 273, 57, 372?

GCD of 471, 273, 57, 372 is 3

2. Where do I get the detailed procedure to find GCD of 471, 273, 57, 372?

You can find a detailed procedure to find GCD of 471, 273, 57, 372 on our page.

3. How to find GCD of 471, 273, 57, 372 on a calculator?

You can find the GCD of 471, 273, 57, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.